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Finding the Fourth Proportional to 2,588.26, 3,880.98 and 1,026.68

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Solution

The fourth proportional to 2,588.26, 3,880.98 and 1,026.68 is: 1,539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.26 : 3,880.98 = 1,026.68 : x
  2. Step 2: Convert to fraction form
    2,588.26/3,880.98 = 1,026.68/x
  3. Step 3: Cross multiply
    2,588.26x = 3,880.98 × 1,026.68
  4. Step 4: Simplify right side
    2,588.26x = 3,984,524.55
  5. Step 5: Solve for x
    x = 3,984,524.55/2,588.26
  6. Step 6: Final answer
    x = 1,539.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.